Please answer question in attachment below.

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1. In an economic model, gross investment /, is proportional to aggregate output where s is theconstant of proportionality. Capital is replaced at the depreciation rate 8, where 0 < 6, s < 1. Theaggregate production function is of the Cobb – Douglas type f (K, L) – aka,!-s, with a and abeing positive constants, a < 1. Labour / grows at a constant positive rate A. This means thatat/dt – A. Net investment In is the rate of change of the capital stock, that is, /,. – ". Furthermore7net investment is the difference between gross investment and the rate of replacement, that is,In = Ig – OK.(i)Show thatdk .!+ 8% – sa (4 )"14J(ii)The capital – labor ratio is k (t) = 10)=KID. By substituting into the differential equation youobtained in part (i), show that"+ (8 + 1)k = saka(You will need to use the quotient rule at some point. )[6]

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5. In an attempt to improve WEP’s security a proposed modification (known as WEP2) uses 128 bits for the initialization vector (IV) value. In this case, estimate how many packets does it take “on average” for an attacker monitoring wireless communications to detect a pair of duplicated IVs (Initialization Vectors) with at least 50% probability, assuming the IV values are generated randomly when an AP (access point) and a wireless client (station) are communicating using WEP2’s 128-bit IVs.

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to the nearest tenth

Normal Mien cfx. Standard normal {Estimation 01 = 0, a 1= 1). fix) 53 4.00 —2..00 —l .00 0.00 1.00 2.00 3 .00 4.00 2 From z—Tahle with z = 42.5? Cummnlative Standard Normal Distillation { p…

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In an accelerating motorcycle, we know that acceleration tends to squat the rear end of the bike as weight is transferred aft. The percentage of weight transferred depends on acceleration, wheelbase, center of mass height, and static fore/aft weight distribution. a.) What effect does chain tension have on the motorcycle’s tendency to squat under acceleration? Does it increase it, decrease it, or have no effect? Please explain your answer. b.) The upper chain run is horizontal, the swingarm is 21 ⅝” in length and angles downward from swingarm pivot to axle at 15 degrees, and the rear sprocket is 9 ¼” in diameter. The chain and swingarm are conventional–no extra idler pulleys. Assuming tension in the upper run of the chain is To lbs (where To is approximately estimated using stats from Triumph’s website), what is the direction and magnitude of the force at the rear axle contributed by chain tension? Additional complicating data: Distance between sprockets = 25 ½” The swing arm is shorter than the chain length. Please look closely atthe photos to understand why and how the transmission output is not concentric with the swing arm pivot.

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In allocating basis under IRC Section 755, which of the following rules applies to allocation between classes of assets?

A negative adjustment would not be allocated to any class of asset.

A positive adjustment is apportioned according to the difference between basis and fair market value.

A positive adjustment would only be allocated to an asset that has appreciated in value.

A positive adjustment would only be allocated to the class that has depreciated in value.

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